Geodesic
Lattices of order-convex sets
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 3, pp. 85-94 Cet article a éte moissonné depuis la source Math-Net.Ru

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We give a characterization of the class of lattices isomorphic to convexity lattices of posets of finite length. Besides that, we describe the class of finite lattices isomorphic to convexity lattices of $n$-ary forests for any integer $n > 1$.
Keywords: lattice, poset, order-convex, length, forest, tree. 
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T. C.-D. Batueva. Lattices of order-convex sets. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 3, pp. 85-94. http://geodesic.mathdoc.fr/item/VNGU_2011_11_3_a5/

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